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Logic-based aggregation methods for ranking student applicants. (English) Zbl 1474.91059

Summary: In this paper, we present logic-based aggregation models used for ranking student applicants and we compare them with a number of existing aggregation methods, each more complex than the previous one. The proposed models aim to include dependencies in the data using logical aggregation (LA). LA is a aggregation method based on interpolative Boolean algebra (IBA), a consistent multi-valued realization of Boolean algebra. This technique is used for a Boolean consistent aggregation of attributes that are logically dependent. The comparison is performed in the case of student applicants for master programs at the University of Belgrade. We have shown that LA has some advantages over other presented aggregation methods. The software realization of all applied aggregation methods is also provided. This paper may be of interest not only for student ranking, but also for similar problems of ranking people e.g. employees, team members, etc.

MSC:

91B14 Social choice
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[1] Alcantud, J.C.R., De Andres Calle, R., and Torrecillas, M.J.M., “Hesitant Fuzzy Worth: An innovative ranking methodology for hesitant fuzzy subsets”,Applied Soft Computing, 38 (2016) 232-243.
[2] Ben-Arieh, D., “Sensitivity of multi-criteria decision making to linguistic quantifiers and aggregation means”,Computers & Industrial Engineering, 48 (2005) 289-309.
[3] Brans, J.P., Vincke, P., and Mareschal, B., “How to select and how to rank projects: The PROMETHEE method”,European Journal of Operational Research, 24 (2) (1986) 228-238. · Zbl 0576.90056
[4] Calvo, T., Mayor, G., and Mesiar, R., “Aggregation operators: new trends and applications”, inStudies in Fuzziness and Soft Computing 97, Springer-Verlag, New York, 2012.
[5] Carlsson, C., Fuller, R., and Fuller, S.,“OWA operators for doctoral student selection problem”, in: R.R. Yager, J. Kacprzyk (eds.)The ordered weighted averaging operators: theory and applications, Springer-Verlag, New York, 1997, 167-177.
[6] Chen, S.J., Hwang, C.L., and Hwang, F.P.,Fuzzy Multiple Attribute Decision Making, Methods and Applications. Springer, New York, 1992. · Zbl 0768.90042
[7] Davey, A., Olson, D., and Wallenius, J., “The Process of Multiattribute Decision Making: A Case Study of Selecting Applicants for a Ph.D. Program”,European Journal of Operational Research, 72 (3) (1994) 469-484.
[8] Deliktas, D., and Ustun, O., “Student selection and assignment methodology based on fuzzy MULTIMOORA and multichoice goal programming”,International Transactions in Operational Research, (2015). DOI: 10.1111/itor.12185. · Zbl 1371.90075
[9] Gabbay, D.M., and Guenthner, F.,Handbook of Philosophical Logic (2nd ed.). Springer, Berlin, 2011. · Zbl 1065.03003
[10] Golec, A., and Kahya, E., “A fuzzy model for competency-based employee evaluation and selection”,Computers & Industrial Engineering, 52 (2007) 143-161.
[11] Goyal, M., Choubey, A., and Yadav, D., “Aggregating evaluation using dynamic weighted intuitionistic fuzzy approach for concept sequencing in an e-learning system”,International Journal of Mathematical Modelling and Numerical Optimisation, 7 (1) (2016) 44-65.
[12] Grabisch, M., Marichal, J.L., Mesiar, R., and Pap, E., “Aggregation functions: means”, Information Sciences, 181 (1) (2011) 1-22. · Zbl 1206.68298
[13] Gupta, M.M., and Qi, J., “Theory of T-norms and fuzzy inference methods”,Fuzzy Sets and Systems, 40 (3) (1991) 431-450. · Zbl 0726.03017
[14] Dragovic, I., Turajlic, N., Radojevic, D., and Petrovic, B., “Combining Boolean consistent fuzzy logic and AHP illustrated on the web service selection problem”,International Journal of Computational Intelligence Systems, 7(sup. 1) (2014) 84-93.
[15] Hajela, P., and Lin, C.Y.,“Genetic search strategies in multicriterion optimal design”, Structural Optimization, 4 (1992), 99-107.
[16] Jeremic, M., Rakicevic, A., and Dragovic, I., “Interpolative Boolean algebra based multicriteria routing algorithm”,Yugoslav Journal of Operations Research, 25 (3) (2014), 397- 412. · Zbl 1474.90549
[17] Koksalan, M., Buyukbasaran, T., Ozpeynirci, O., and Wallenius, J., “A flexible approach to ranking with an application to MBA programs”,European Journal of Operational Research, 201(2) (2010) 470-476. · Zbl 1190.90106
[18] Mandic, K., Delibasic, B., and Radojevic, D.,“An Application of the Integrated IBATOPSIS Model in Supplier Selection”,International Journal of Decision Support System Technology, 7 (1) (2015) 15-30.
[19] Markowitz, H., “Portfolio selection”,The Journal of Finance, 7 (1) (1952) 77-91.
[20] Milosevic, P., Nesic, I., Poledica, A., Radojevic, D., and Petrovic, B., “Models for Ranking Students: Selecting Applicants for a Master of Science Studies”, in: V.E. Balas, J. Fodor, A.R. Vrkonyi-Kczy, J. Dombi, L.C. Jain (eds.)Soft Computing Applications: Proceedings of the 5th International Workshop Soft Computing Applications (SOFA), Advances in Intelligent Systems and Computing 195, Berlin, Springer, 2013, 93-103.
[21] Milosevic, P., Petrovic, B., Radojevic, D., and Kovacevic, D., “A software tool for uncertainty modeling using Interpolative Boolean algebra”,Knowledge-Based Systems, 62 (2014) 1-10.
[22] Petrovic-Lazarevic, S., “Personnel selection fuzzy model”,International Transactions in Operational Research, 8(1) (2001) 89-105. · Zbl 0992.90041
[23] Poledica, A., Bogojevic-Arsic, V., and Petrovic, B., “Logical aggregation as similarity measure in case-based reasoning”, in: D. Ruan, T. Li (eds.)Computational Intelligence. Foundation and Application: Proceedings of the 9th International FLINS Conference, World Scientific Publishing Co., Singapore, 2010, 585-590.
[24] Radojevic, D., “New [0,1]-valued logic: A natural generalization of Boolean logic”,Yugoslav Journal of Operational Research, 10 (2) (2000) 185-216. · Zbl 0965.03027
[25] Radojevic, D., “Interpolative Realization of Boolean Algebra as a Consistent Frame for Gradation and/or Fuzziness”, in: M. Nikravesh, L.A. Zadeh (eds)Forging New Frontiers: Fuzzy Pioneers II, Studies in Fuzziness and Soft Computing 218, Berlin, Springer, 2008, 295-317.
[26] Radojevic, D., “Logical Aggregation Based on Interpolative Boolean Algebra”,Mathware & Soft Computing, 15 (2008) 125-141. · Zbl 1152.03322
[27] Rakicevic, A., Milosevic, P., Petrovic, B., and Radojevic, D., “DuPont Financial Ratio Analysis Using Logical Aggregation”, in: V.E. Balas, L. C. Jain, B. Kovacevic (eds.)Soft Computing Applications: Proceedings of the 6th International Workshop Soft Computing Applications (SOFA 2014), vol. 2, Advances in Intelligent Systems and Computing 357, Berlin, Springer, 2016, 727-739.
[28] Ross, T.,Fuzzy Logic With Engineering Application (3rd ed.). John Wiley & Sons, Chichester, 2010.
[29] Saaty, T.L.,The Analytic Hierarchy Process. McGraw-Hill, New York, 1990. · Zbl 0707.90002
[30] Smolikova, R., and Wachowiak, M.P., “Aggregation operators for selection problems”,Fuzzy Sets and Systems, 131 (2002) 23-34. · Zbl 1027.91017
[31] Stamelos, I., Vlahavas, I., Refanidis, I., and Tsoukias, A., “Knowledge-based evaluation of software systems: a case-study”,Information and Software Technology, 42 (5) (2000) 333-345.
[32] Triantaphyllou, E.,Multi-Criteria Decision Making Methods: A Comparative Study. Kluwer Academic Publishers, Dordrecht, 2000. · Zbl 0980.90032
[33] Tsiporkova, E., Boeva, V., “Multi-step ranking of alternatives in a multi-criteria and multiexpert decision making environment”,Information Sciences, 176 (2006) 2673-2697. · Zbl 1102.68655
[34] Voskoglou, M.G., and Subbotin, I.Y., “Fuzzy methods for student assessment”,International Journal of Education and Information Technology, 1 (1) (2015) 20-28.
[35] Yager, R.R., “On ordered weighted averaging aggregation operators in multi-criteria decision making”,IEEE Transaction on Systems, Man and Cybernetics, 18 (1988) 183-190. · Zbl 0637.90057
[36] Yeh, C., “The Selection of Multiattribute Decision Making Methods for Scholarship Student Selection”,International Journal of Selection and Assessment, 11 (4) (2003) 289-296.
[37] Zadeh, L.A., “Fuzzy sets”,Information and Control, 8 (3) (1965), 338-353. · Zbl 0139.24606
[38] Zadeh, L.A., “Soft Computing and Fuzzy Logic”,IEEE Software, 11 (1994) 48-56.
[39] Zadeh, L.A., “Is there a need for fuzzy logic?”,Information Sciences, 178 (13) (2008) 2751-2779 · Zbl 1148.68047
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